Math (Chapter Differentiation)

What’s important to remember for First Principle

• f (x+h) = we substitute (x+h) in every X of f (x)

• In the formula, we multiply the - into every f(x)

When do we use Chain Rule

when there’s a function inside another function

ln(x), sin(x), (ax + b)³

How to differentiate exponential

= e^f(x) X f’(x)

How to differentiate Log

= 1 / f(x) X f’(x)

How to differentiate Trigono

= f’ (theta) X d/dx (theta)

What’s important to remember for Substitution

• Not only for canceling out things,but also for simplifying things

• Can still do it, even tho there’s nothing to cancel out

If all rules of Differentiation doesn’t work, what to do?

Do Substitution, even tho there’s nothing to cancel out

What to do after we let U

Change the limit for U

• When x = 1, u = ~

What to do when we input value into calculator when it says Math Error

• Either recheck

  OR

• Calculate manually